This assertion is reminiscent of the adventurer / experimenter that leaps from the Empire State Building's observation deck to "see what happens""The reason I disagree is that the more nukes out there, the safer everyone actually is.
That is because of MAD." R5 #2,828
and as he plummets toward the pavement is overheard through a 7th story window saying to himself, "No problem so far!"
Superficially paradoxical perhaps, but "MAD", mutually assured destruction does not work UNLESS !!
Unless each nuclear armed nation's arsenal is under the control of leadership that wishes to survive (antithetical to the namesake "MAD").
But doomsday cults are quite familiar to Western civilization *.
Some experts scale human history in millions of years.
Difficult to imagine humanity surviving a few more centuries, if MAD, a dynamic which does not succeed without leadership determination to survive,
if MAD is allowed to continue without Plan-B safeguard.
So far, zippo.
* ref:
Nostradamus, Jim Jones, pick your favorites:

